Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 905/847, 7217/3752 quickly i.e. 933055 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 905/847, 7217/3752 is 933055.
LCM(905/847, 7217/3752) = 933055
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 905/847,7217/3752
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 905,7217
Least Common Multiple of Numerators i.e. LCM of 905,7217 is 6531385.
GCF of Denominators means GCF of 847,3752 as per the given fractions.
GCF of 847,3752 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 905,7217
Given numbers has no common factors except 1. So, there LCM is their product i.e 6531385
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 905,7217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(905,7217) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(905,7217) x common factors =1 x 1 = 1
LCM(905,7217) = ( 905 × 7217 ) / 1
LCM(905,7217) = 6531385 / 1
LCM(905,7217) = 6531385
Lets's calculate GCF of 847,3752
7 | 847, 3752 |
121, 536 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6531385/7
Therefore the LCM of Fractions 905/847,7217/3752 is 933055
Factors of 847
List of positive integer factors of 847 that divides 847 without a remainder.
1,7,11,77,121,847
Factors of 3752
List of positive integer factors of 3752 that divides 3752 without a remainder.
1,2,4,7,8,14,28,56,67,134,268,469,536,938,1876,3752
Greatest Common Factor
We found the factors 847,3752 . The biggest common factor number is the GCF number.
So the greatest common factor 847,3752 is 7.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 905/847, 7217/3752?
Answer: LCM of Numerators as per given numbers 905/847, 7217/3752 is
LCM of Numerators i.e. for 905,7217 is 6531385
GCF of denominators i.e. for 847,3752 is 7.
Thus, LCM of Fractions is 933055.Finally, LCM of Fractions for 905/847, 7217/3752 is 933055.